Greatest Common Factor of 490/20, 574/23, 176/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/20, 574/23, 176/906

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 490/20,574/23,176/906

Given fractions are 490/20,574/23,176/906

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 490,574,176

Greatest Common Factor of Numerators i.e. GCF of 490,574,176 is 2 .

LCM of Denominators means LCM of 20,23,906 as per the given fractions.

LCM of 20,23,906 is 208380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,574,176

GCF of Fractions 490/20,574/23,176/906 is 2/208380

2 490, 574, 176
245, 287, 88

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 490,574,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,574,176 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 490,574,176 . The biggest common factor number is the GCF number.
So the greatest common factor 490,574,176 is 2.

Lets's calculate LCM of 20,23,906

2 20, 23, 906
10, 23, 453

∴ So the LCM of the given numbers is 2 x 10 x 23 x 453 = 208380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208380

Therefore, the GCF of Fractions 490/20,574/23,176/906 is 2/208380

Least Common Multiple of 20,23,906 with GCF Formula

Least Common Multiple of 20,23,906 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 20,23,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,23,906) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,23,906) x common factors =1 x 2 = 2

LCM(20,23,906) = ( 20 × 23 × 906 ) / 2

LCM(20,23,906) = 416760 / 2

LCM(20,23,906) = 208380


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 490/20, 574/23, 176/906

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 490/20, 574/23, 176/906?

Answer: GCF of Numerators as per given numbers 490/20, 574/23, 176/906 is

GCF of Numerators i.e. for 490,574,176 is 2

LCM of denominators i.e. for 20,23,906 is 208380.

Thus, GCF of Fractions is 2/208380.Finally, GCF of Fractions for 490/20, 574/23, 176/906 is 2/208380.